Rationalise the denominator 356

Rationalise the denominator `(3sqrt(5))/sqrt(6)`

योग

`(3sqrt(5))/sqrt(6) = (3sqrt(5))/sqrt(6) xx sqrt(6)/sqrt(6)`

= `(3sqrt(30))/6`

= `sqrt(30)/2`

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Rationalisation of Surds

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अध्याय 2: Real Numbers - Exercise 2.7 [पृष्ठ ७०]

अध्याय 2 Real Numbers
Exercise 2.7 | Q 1. (iv) | पृष्ठ ७०

Rationalize the denominator.

`1/sqrt14`

Write the simplest form of rationalising factor for the given surd.

`sqrt 27`

Write the simplest form of rationalising factor for the given surd.

`3 sqrt 72`

Write the lowest rationalising factor of 5√2.

Write the lowest rationalising factor of 15 – 3√2.

Find the values of 'a' and 'b' in each of the following:
`[5 + 3sqrt2]/[ 5 - 3sqrt2] = a + bsqrt2`

If m = `1/[ 3 - 2sqrt2 ] and n = 1/[ 3 + 2sqrt2 ],` find m²

If x = 5 - 2√6, find `x^2 + 1/x^2`

If √2 = 1.4 and √3 = 1.7, find the value of : `1/(3 + 2√2)`

If x = `sqrt(5) + 2`, then find the value of `x^2 + 1/x^2`